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4427305344 = 2733711127131
BaseRepresentation
bin1000001111110001…
…10101000110000000
3102102112202102012000
410013320311012000
533031342232334
62011152304000
7214466321520
oct40770650600
912375672160
104427305344
11197210a040
12a36842000
13557303607
142dddc5680
151ada2e299
hex107e35180

4427305344 has 512 divisors, whose sum is σ = 16544563200. Its totient is φ = 1132185600.

The previous prime is 4427305343. The next prime is 4427305367. The reversal of 4427305344 is 4435037244.

4427305344 is a `hidden beast` number, since 4 + 4 + 2 + 7 + 305 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4427305299 and 4427305308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4427305343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33796159 + ... + 33796289.

It is an arithmetic number, because the mean of its divisors is an integer number (32313600).

Almost surely, 24427305344 is an apocalyptic number.

4427305344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4427305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8272281600).

4427305344 is an abundant number, since it is smaller than the sum of its proper divisors (12117257856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4427305344 is a wasteful number, since it uses less digits than its factorization.

4427305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The square root of 4427305344 is about 66537.9992485497. Note that the first 3 decimals coincide. The cubic root of 4427305344 is about 1642.0252275535.

The spelling of 4427305344 in words is "four billion, four hundred twenty-seven million, three hundred five thousand, three hundred forty-four".